Anomalous diffusion in generalized Dykhne model

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776110010085· OSTI ID:21460691

Dvoretskaya, O A; Matveev, L V ^[1]

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1. Russian Academy of Sciences, Nuclear Safety Institute (Russian Federation)

Contaminant transport is investigated in the generalized Dykhne model differing from the original Dykhne model by the presence of advection in the high-permeability medium. An analysis is presented of transport regimes and concentration tail behavior in the high-permeability medium. It is found that the transport regimes include anomalous ones: subdiffusion and quasi-diffusion. A difference is revealed between longitudinal and transverse transport. Regime change over time leads to multiple-regime long-distance asymptotic behavior of concentration distributions. An analogy is drawn between the problems examined here and transport through comb structures.

• OSTI ID: 21460691
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 110, Issue 1; Other Information: DOI: 10.1134/S1063776110010085; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ADVECTION
ASYMPTOTIC SOLUTIONS
CONCENTRATION RATIO
DIFFUSION
DISTANCE
DISTRIBUTION
MATHEMATICAL MODELS
PERMEABILITY
DIMENSIONLESS NUMBERS
MASS TRANSFER
MATHEMATICAL SOLUTIONS
PHYSICAL PROPERTIES